Exam 10: Time Series Analysis

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Time-series data are data collected for a

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What does it mean for a time-series to be stationary? Why is this desirable? Explain.

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A time-series is stationary if the probability distribution of the dependent variable is constant over time.Stationarity is a desirable property because if the probability distribution of the dependent variable changes over time it becomes difficult to explain the variation in that variable.

You can de-trend your data by

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Suppose you estimate a distributed lag model of U.S.Personal Consumption Expenditures (billions)on U.S.Personal Income (billions)using quarterly data for the period 1969Q1-2013Q3 and you get = -135.034+ 0.757+ 0.163- 0.243- 0.158+ 0.307 (11.244) (0.099) (0.153) (0.151) (0.159) (0.107) n=175 =.9994 a)What is this model called? Why would you estimate this type of function? b)Are the lags individually significant at the 5% level? c)What do your results in part b imply about your preferred model?

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What is forecasting? How do you perform it? How can you test the potential validity of your forecasts? Explain.

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A structural break occurs when we see

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You can limit the problem of potential spurious correlation by

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Suppose you regress Ice Cream Sales on the number of children under age 10 and on binary dummy variables indicating the 2nd,3rd,and 4th quarters of the year and you get (p-values in parentheses) Ice\nobreakspace\nobreakspaceSales= 17.92+ 8.63Under1+ 14.61Q+ 5.32+ 1.08Q (0.012) (0.032) (0.037) (0.124) (0.179) You should conclude that,holding all other independent variables constant,ice cream sales are statistically greater in

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You can test for a structural break in time-series data by

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Suppose you estimate a static time-series model of U.S.Personal Consumption Expenditures (billions)on U.S.Personal Income (billions)using quarterly data for the period 1969Q1-2013Q3 and you get = -141.454+ 0.822 (11.244) (0.002) n=179 =.9993 a)How do you interpret the estimated sample regression function? Explain. b)You wonder if previous values of income affect consumption.Explain how you would estimate a distributed lag model of order 2. c)Using the model in part c,how would you test for a statistical relationship between past values of income and consumption? d)If you thought there was a structural break in these data in 2006Q1,how would you control and test for it?

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What is a structural break in the data? Why is it important to control for a structural break if one occurs? How can you test and control for a structural break in your data? Explain.

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What is a time-trend? Why is it important to control for a time-trend if it is present in the data? How can you test and control for a time-trend in your data? Explain.

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A weakly dependent time series is one for which

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What is spurious correlation? Why is it important to consider whether spurious correlation exists? How can you do so? Explain.

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Suppose that you regress obesity rates on smoking rates for the years 1928-2011 by the model  Obesity Rate t=β0+β1 Smoking Rate +εt\text { Obesity Rate } _ { t } = \beta _ { 0 } + \beta _ { 1 } \text { Smoking } ^ { \text {Rate } } + \varepsilon _ { t } )You have just estimated a _______ model.

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What is seasonality? When might you expect seasonality to occur? Why is it important to control for a seasonality if it is present in the data? How can you test and control for a seasonality in your data? Explain.

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A stationary time-series is one for which

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A static time-series model _______ for the time dependence of the data.

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Suppose you include seasonality controls in your model of U.S.Personal Consumption Expenditures (billions)on U.S.Personal Income (billions)using quarterly data for the period 1969Q1-2013Q3 and you get = -143.783+ 0.822- 1.782Q+ 11.431Q- 0.073Q (15.775) (0.002) (18.098) (18.099) (18.200) n =179 =.9994 A)Explain how you would create Q2t,Q3t,and Q4t. B)Interpret the coefficients on Q2t,Q3t,and Q4t and comment on their statistical significance.

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What are the assumptions required for OLS to be BLUE for time-series data? Write out and explain each.

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